Question

The elements of power set of Set $A=\{-1,0,1\}$ are

• A. $\left\{1\right\},\left\{0\right\},\left\{1\right\},\{-1,0\},\{0,1\},\{-1,1\},\{-1,0,1\}$
• B. $\{-1,0\},\{0,1\},\{-1,1\},\varphi ,\{-1,0,1\}$
• C. $\left\{1\right\},\left\{0\right\},\left\{1\right\},\{-1,0\},\{0,1\},\{-1,1\},\varphi ,\{-1,0,1\}$
• D. $\left\{1\right\},\left\{0\right\},\left\{1\right\},\{-1,0\},\{0,1\},\{-1,1\},\varphi$

Answer 1

The correct option is C $\left\{1\right\},\left\{0\right\},\left\{1\right\},\{-1,0\},\{0,1\},\{-1,1\},\varphi ,\{-1,0,1\}$

Power set of any set A, contains all the subsets of set A.
Subsets of given set are - $\left\{1\right\},\left\{0\right\},\left\{1\right\},\{-1,0\},\{0,1\},\{-1,1\},\varphi ,\{-1,0,1\}$
So a set containing all these subsets as its elements will be it's power set.